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Data Collection and Sampling Methodssamplingreliabilitysample sizefoundation

AQA GCSE · Question 04 · Data Collection and Sampling Methods

Which of these sample sizes from a large population gives the most reliable sample?
Choose your answer.

Answer options:

A.

10

B.

20

C.

100

D.

500

How to approach this question

Consider the relationship between sample size and reliability. A reliable sample is one that is likely to be representative of the population. Think about whether a larger or smaller sample is more likely to reflect the characteristics of the whole population.

Full Answer

D.500✓ Correct
In statistics, a larger sample size generally leads to a more reliable and accurate representation of the population. This is because larger samples are less affected by random chance and outliers, and they tend to have a smaller margin of error. Of the options given (10, 20, 100, 500), 500 is the largest sample size and will therefore provide the most reliable results when sampling from a large population.

Common mistakes

✗ Thinking that a smaller sample might be better for some reason, for example, easier to manage. While true, ease of management does not equate to statistical reliability.

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